Journal ArticleDOI
Groundwater waves in aquifers of intermediate depths
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TLDR
In this article, a system of equations for the propagation of periodic watertable waves in uncofined aquifers of intermediate depths is derived for finite values of the dimensionless aquifer depth nwdK which is assumed small under the Dupuit-Forchheimer approach that leads to the Boussinesq equation.About:
This article is published in Advances in Water Resources.The article was published on 1997-02-01. It has received 82 citations till now. The article focuses on the topics: Boussinesq approximation (water waves) & Wave equation.read more
Citations
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The driving forces of porewater and groundwater flow in permeable coastal sediments: a review
TL;DR: In this paper, the authors reviewed the drivers of porewater and groundwater advection in permeable shelf sediments in an attempt to bridge gaps among different disciplines studying similar problems, and identified the following driving forces: (1) terrestrial hydraulic gradients, (2) seasonal changes in the aquifer level on land moving the location of the subterranean estuary, (3) wave setup and tidal pumping, (4) water level differences across permeable barriers, (5) flow-and topography-induced pressure gradient, (6) wave pumping; ripple and other
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Tide‐induced recirculation across the aquifer‐ocean interface
TL;DR: In this paper, a parametric analysis is conducted to examine the influence of tides, inland hydraulic conditions, and aquifer properties on the rate of tide-induced seawater recirculation through the nearshore aquifer.
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Tidal effects on groundwater dynamics in unconfined aquifers
TL;DR: In this paper, the effects of a mild beach slope, seepage face and unsaturated zone on the velocity field in the aquifer were investigated using a variably saturated numerical model.
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Measurements and modelling of beach groundwater flow in the swash-zone: a review
TL;DR: In this paper, the authors present a review of the research on beach groundwater dynamics and identify research questions which will need to be answered before swash zone sediment transport and beach profile evolution can be successfully modelled.
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Tidal water table fluctuations in a sandy ocean beach
TL;DR: In this paper, the authors used the Boussinesq equation driven with the observed 10 min-averaged shoreline (ocean-beach intersection) motion for 27 days in a gently sloped ocean beach.
References
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Tidal dynamics of the water table in beaches
TL;DR: In this article, the authors investigated the water table height inside a sloping beach via field measurements and theoretical considerations, and found that even in the absence of precipitation, the time averaged inland water table stands considerably above the mean sea level.
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Reflection and transmission from porous structures under oblique wave attack
TL;DR: The linear theory for water waves impinging obliquely on a vertically sided porous structure is examined in this article, where the reflection and transmission coefficients are significantly altered and they are calculated using a plane-wave assumption.
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A ninth-order solution for the solitary wave
TL;DR: In this paper, an exact operator equation for the surface profile of steady water waves is developed for the case of a solitary wave, and coefficients are obtained numerically by computer to give a ninth-order solution.
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Free-surface flow in porous media and periodic solution of the shallow-flow approximation
TL;DR: In this paper, the second-order theory is used to describe the propagation of steady periodic motion in a porous medium, driven by the oscillating level of a reservoir in contact with it.
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Periodic Nonlinear Diffusion: An Integral Relation and its Physical Consequences
TL;DR: In this paper, a general integral relation in steady periodic nonlinear diffusion is established through a Kirchhoff transformation and the time average e of the transformed concentration e satisfies Laplace's equation and may therefore be evaluated readily.